## Example Questions

### Example Question #1 : How To Multiply Complex Fractions

What is ?      Explanation:

Simplify both sides first. simplifies to 6. simplifies to . Finally 6  = .

### Example Question #1 : How To Multiply Complex Fractions

What is equal to?      Explanation:

When multiplying fractions, we can simply multiply the numerators and then multiply the denominators. Therefore, is equal to We then do the same thing again, giving us .

Now we must find the least common denominator, which is .

We multiply the top by and the bottom by . After we do this we can multiply our numerator by the reciprocal of the denominator. .

### Example Question #2 : How To Multiply Complex Fractions

Simplify:       Explanation:

Begin by simplifying the denominator:  Then, you perform the division by multiplying the numerator by the reciprocal of the denominator:  Finally, multiply everything: ### Example Question #1 : How To Multiply Complex Fractions

Simplify:       Explanation:

Generally, when you multiply fractions, it is a very easy affair. This does not change for complex fractions like this. You can begin by simply multiplying the numerators and denominators directly. Thus, you know: Now, simplify this to: or Now, remember that when you divide fractions, you multiply the numerator by the reciprocal of the denominator:  , which is easy to finish:  